345633202336543 has 48 divisors (see below), whose sum is σ = 396762759439200. Its totient is φ = 300483252115200.

The previous prime is 345633202336537. The next prime is 345633202336547.

345633202336543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345633202336543 - 2⁵ = 345633202336511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345633202336547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048215580 + ... + 1048545262.

It is an arithmetic number, because the mean of its divisors is an integer number (8265890821650).

Almost surely, 2^{345633202336543} is an apocalyptic number.

345633202336543 is a deficient number, since it is larger than the sum of its proper divisors (51129557102657).

345633202336543 is a wasteful number, since it uses less digits than its factorization.

345633202336543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332584 (or 332573 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 52.

It can be divided in two parts, 34563320 and 2336543, that added together give a palindrome (36899863).

The spelling of 345633202336543 in words is "three hundred forty-five trillion, six hundred thirty-three billion, two hundred two million, three hundred thirty-six thousand, five hundred forty-three".